FF = GF(next_prime(1000000))
M = Matrix(FF, [[1, 2], [3, 4]])
M.__init__??

reveals that the indices are casted into a long. This might be the problem.

Using Py_ssize_t or size_t might have been a better choice.

Jonathan
dim...@gmail.com schrieb am Mittwoch, 1. Dezember 2021 um 20:56:16 UTC+1:

>
>
> On Wed, Dec 1, 2021 at 4:39 PM Anton Mellit <mel...@gmail.com> wrote:
> >
> > When I create a very large matrix (the threshold may be 2^32 entries) 
> from a list of vectors, the elements are not copied over correctly.
> > Here is a "small" example:
> >
> > FF = GF(next_prime(1000000))
> > M = 70000
> > N = 80000
> > v1 = vector(FF, [FF(k) for k in range(N)])
> > v2 = vector(FF, [N] * N)
> > vecs = [v1 + v2*FF(i) for i in range(M)]
> > mat = matrix(FF, M, N, vecs)
> > mat[0] == vecs[0]
> >
> > the last line returns "false".
> > I understand the bug is not so easy to reproduce: the code above runs 
> for about 40 minutes and needs about 50G of RAM. In fact, it is also 
> strange that it takes so long: all the lines until "mat = matrix(FF, M, N, 
> vecs)" take only about a minute. It shouldn't take so much more time to 
> simply copy a bunch of vectors than it took to compute them.
> >
> Matrices in Sage are not just array, they come with parents - vector 
> spaces of matrices of this size.
> Perhaps it's where the time bottleneck is - in creating the parent, that 
> code wasn't obviously optimised for these kinds of dimensions.
>
> As to the error... Hard to say, one needs to look at the code (and find a 
> machine to reproduce the example). 
>
> Dima
>
>
> > Sage version: 9.3 running on a 64 bit linux system
> >
> >
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> .
>

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